Let's divide 193103 by 31
We want to figure out the number of times 193103 can be divided by 31.

On to step 1:
The number 31 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 31

On to step 2:
31 goes into 19 0 times with a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 19 to get 19.
Append the next digit (3) from the dividend to 19 and continue with: 193 / 31

Moving on to step 3:
If we divide 193 by 31, we get 6 and a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 186 from 193 and we're left with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 31

On to step 4:
71 divided by 31 is 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 62.0
If we take 62 away from 71, we end up with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 31

Moving on to step 5:
When dividing 90 by 31, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 622.0
Deduct 62 from 90 and we're left with 28.
Append the next digit (3) from the dividend to 28 and continue with: 283 / 31

On to step 6:
When dividing 283 by 31, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 6229.0
Subtract 279 from 283 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
The number 31 fits into 40 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 6229.1
If we subtract 31 from 40, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
The number 31 fits into 90 2 times, leaving a remainder of 28.
The next digit of our result is 2. 
Result so far: 6229.12
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
If we divide 280 by 31, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 6229.129
Subtracting 279 from 280 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
10 divided by 31 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6229.129
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
If we divide 100 by 31, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 6229.12903
Subtracting 93 from 100 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
If we divide 70 by 31, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 6229.129032
Subtracting 62 from 70 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
80 divided by 31 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 6229.1290322
Deduct 62 from 80 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 6229.1290322 with a remaining 1.8e-07.